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What is the Least Common Multiple of 3148 and 3158?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 3148 and 3158 is 4970692.

LCM(3148,3158) = 4970692

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Least Common Multiple of 3148 and 3158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3148 and 3158, than apply into the LCM equation.

GCF(3148,3158) = 2
LCM(3148,3158) = ( 3148 × 3158) / 2
LCM(3148,3158) = 9941384 / 2
LCM(3148,3158) = 4970692

Least Common Multiple (LCM) of 3148 and 3158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3148 and 3158. First we will calculate the prime factors of 3148 and 3158.

Prime Factorization of 3148

Prime factors of 3148 are 2, 787. Prime factorization of 3148 in exponential form is:

3148 = 22 × 7871

Prime Factorization of 3158

Prime factors of 3158 are 2, 1579. Prime factorization of 3158 in exponential form is:

3158 = 21 × 15791

Now multiplying the highest exponent prime factors to calculate the LCM of 3148 and 3158.

LCM(3148,3158) = 22 × 7871 × 15791
LCM(3148,3158) = 4970692